My brother has been playing XIV on Steam. Even after he became a paying subscriber, the game's name never changed to "FFXIV: A Realm Reborn." It continued to say "Free Trial" on the Steam launcher, even though it was no longer free.

He is now unable to buy Heavensward because it says he doesn't own FFXIV. Any ideas of how to fix this?

Note: He says he thinks he downloaded free trial on Steam, but then upgraded to the real game via Mog Station (he paid $25 for the full game), but only an email from SE saying thanks for using Mog Station acknowledges the purchase. His Steam account doesn't consider him an owner of the game even though he owns a Steam license.